how to calculate a routh table in matlab

To calculate a Routh table in MATLAB, you can use the rout function which is included in the Control Systems Toolbox. Here's an example:

main.m
% define the coefficients of the transfer function
num = [1 2 1];
den = [1 6 8 0];

% calculate the Routh table
routTable = rout(num, den);
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In this example, num and den are the numerator and denominator coefficients of the transfer function, respectively. The rout function will return a matrix containing the Routh table for the transfer function.

You can then use MATLAB to perform any further analysis of the Routh table as needed.